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Article Citation - WoS: 9Citation - Scopus: 13Best Proximity Point Results for Mk-Proximal Contractions(Hindawi Publishing Corporation, 2012) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemLet A and B be nonempty subsets of a metric space with the distance function d, and T : A -> B is a given non-self-mapping. The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real-valued function x bar right arrow. d (x, Tx), where T belongs to a new class of contractive mappings. We provide also an iterative algorithm to find a solution of such optimization problems.Article Citation - WoS: 61Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings(Hindawi Ltd, 2013) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemWe introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.Editorial Citation - Scopus: 1Optimization Problems via Best Proximity Point Analysis(Hindawi Publishing Corporation, 2014) Jleli, Mohamed; Karapinar, Erdal; Petrusel, Adrian; Samet, Bessem; Vetro, Calogero[No Abstract Available]Article Citation - WoS: 97Citation - Scopus: 147Further Generalizations of the Banach Contraction Principle(Springeropen, 2014) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemWe establish a new fixed point theorem in the setting of Branciari metric spaces. The obtained result is an extension of the recent fixed point theorem established in Jleli and Samet (J. Inequal. Appl. 2014: 38, 2014).Article Citation - WoS: 16Citation - Scopus: 21Further Remarks on Fixed-Point Theorems in the Context of Partial Metric Spaces(Hindawi Ltd, 2013) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemNew fixed-point theorems on metric spaces are established, and analogous results on partial metric spaces are deduced. This work can be considered as a continuation of the paper Samet et al. (2013).Article Citation - WoS: 7Positive Solutions for Multipoint Boundary Value Problems for Singular Fractional Differential Equations(Hindawi Ltd, 2014) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemA class of nonlinear multipoint boundary value problems for singular fractional differential equations is considered. By means of a coupled fixed point theorem on ordered sets, some results on the existence and uniqueness of positive solutions are obtained.Article Citation - WoS: 9Fixed Point Results for Almost Generalized Cyclic (ψ, Φ)-Weak Contractive Type Mappings With Applications(Hindawi Publishing Corporation, 2012) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemWe define a class of almost generalized cyclic (psi,phi)-weak contractive mappings and discuss the existence and uniqueness of fixed points for such mappings. We present some examples to illustrate our results. Moreover, we state some applications of our main results in nonlinear integral equations.Article Citation - WoS: 25Citation - Scopus: 36Fixed Point Results for Α-ψλ-contractions on Gauge Spaces and Applications(Hindawi Publishing Corporation, 2013) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemWe extend the concept of alpha-psi-contractive mappings introduced recently by Samet et al. (2012) to the setting of gauge spaces. New fixed point results are established on such spaces, and some applications to nonlinear integral equations on the half-line are presented.Article Citation - WoS: 3Citation - Scopus: 6A Short Note on the Equivalence Between 'best Proximity' Points and 'fixed Point' Results(Springeropen, 2014) Jleli, Mohamed; Karapınar, Erdal; Karapinar, Erdal; Samet, Bessem; Karapınar, Erdal; Mathematics; MathematicsIn this short note, we notice that, unexpectedly, some existing fixed point results and recently announced best proximity point results are equivalent.Article Citation - WoS: 15Citation - Scopus: 16On Cyclic (ψ, Φ)-Contractions in Kaleva-seikkala's Type Fuzzy Metric Spaces(Ios Press, 2014) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemIn this paper we introduce the notion of cyclic (psi, phi)-contractions on fuzzy metric spaces in the sense of Kaleva and Seikkala, and we discuss the existence and uniqueness of fixed points for mappings satisfying such type of contractions.
